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Finding the Fourth Proportional to 14,135.49, 19,506.96 and 7,762.41

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Solution

The fourth proportional to 14,135.49, 19,506.96 and 7,762.41 is: 10,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.49 : 19,506.96 = 7,762.41 : x
  2. Step 2: Convert to fraction form
    14,135.49/19,506.96 = 7,762.41/x
  3. Step 3: Cross multiply
    14,135.49x = 19,506.96 × 7,762.41
  4. Step 4: Simplify right side
    14,135.49x = 151,421,021.37
  5. Step 5: Solve for x
    x = 151,421,021.37/14,135.49
  6. Step 6: Final answer
    x = 10,712.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.